Answer:
0.25
Step-by-step explanation:
Probability is the chance you get a certain thing when you pick randomly. In this case, it's asking the probablility of picking someone from a whole student survey that does music or drama.
Looking at the two way table is easy! Out of all grades, 65 are in sports, 25 have music or drama, and 10 has work. Add them all up and get 100.
However, we only found the people in the survey. We need to find the probability of someone in music and drama. So we divide the number of people in all grades who take that class and divide it by the total amount- 25/100, this turns out for the probability to be 0.25.
Nicole begins jogging for Mr. allergies class. on her first run, she runs one- half mile. she increases her work out by adding one-half mile a week to her run. she wrote the equation f(x) = 0.5 + 0.5x to model her progress. What does x represent?
A. Miles she runs.
B. Weeks she runs
C.miles she ran the first day
D. Calories she burns
Fill in the blank to complete the equation below.
14 + 35
= 7(2 + ___)
Answer:
5
Step-by-step explanation:
14+35=49 and we are looking for the number times 7 that gives us 49.
So, we already have 2. 2+ what times 7 gives us 49? 2 + 5 = 7 and so now our equation looks like this:
14+35 =7 (2+5)
Or
14+35= 7x7 becuase 7x7 is 49 and 14+35 is also 49.
(If you need more help, let me know!)
factor completely 21x^3+35x^2+9x+15
Answer:
(3x+5)(7x^2+3)
Step-by-step explanation:
Factor : 21x^3+35x^2+9x+15
21x^3+35x^2+9x+15
=(3x+5)(7x^2+3)
______________________
Hope this helps!
How do I solve this arithmetic problem?
Answer:
1.) The 1ˢᵗ three term is (-32), (-7) and 18
2.) The 1ˢᵗ three term is 127, 106 and 85
Step-by-step explanation:
1.)Here,
First Term = a₁ = - 32
Common Difference = (d) = 25
Now, For 1ˢᵗ three term,
n = 1
a₁ = - 32
n = 2
aₙ = a + (n - 1)d
a₂ = (-32) + (2 - 1) × 25
a₂ = (-32) + 1 × 25
a₂ = (-32) + 25
a₂ = -7
n = 3
aₙ = a + (n - 1)d
a₃ = (-32) + (3 - 1) × 25
a₃ = (-32) + 2 × 25
a₃ = (-32) + 50
a₃ = 18
Thus, The 1ˢᵗ three term is (-32), (-7) and 18
2.)Here,
First Term = a₁ = 127
Common Difference = (d) = -21
Now, For 1ˢᵗ three term,
n = 1
a₁ = 127
n = 2
aₙ = a + (n - 1)d
a₂ = 127 + (2 - 1) × (-21)
a₂ = 127 + 1 × (-21)
a₂ = 127 - 21
a₂ = 106
n = 3
aₙ = a + (n - 1)d
a₃ = 127 + (3 - 1) × (-21)
a₃ = 127 + 2 × (-21)
a₃ = 127 - 42
a₃ = 85
Thus, The 1ˢᵗ three term is 127, 106 and 85
-TheUnknownScientist
A cup of coffee contains approximately 95 mg of caffeine. If caffeine is eliminated from the body at a rate of 11% per hour, how long will it take for half of the caffeine to be eliminated from a person’s body?
An electrician charges $24 per hour and $36 for each hour of overtime. for a job, the electrician works 8 regular hours and overtime hours. he also charges $202 for materials. the total amount of the bill for the job is $538. how many overtime hours did the electrician work?
The number of overtime hours done by electrician, as found by unitary method, is 4.
What is unitary method?A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.
Now,
Given:
Charge per hour = $24Charge per overtime hour = $36Number of regular hours = 8Charge of materials = $202Total amount of bill = $538To find: Number of Overtime hours
FInding:
Let the number of overtime hours be 'x'.
By unitary method, Charge of 1 regular hour = $24
Charge of 8 regular hours = $24(8) = $192
Again, by unitary method, Charge of 1 overtime hour = $36
Charge of x overtime hours = $36(x)
Cost of Materials = $202
Now, total bill = sum of all the expenses
=> 538 = 192 + 36x + 202
=> 538 - 294 = 36x
=> 144 = 36x
=> 4 = x
Hence, the number of overtime hours as found by unitary method is 4.
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Inverse Function f(x)= -4 + 2/3x
Answer:
\(f^{-1}(x)=\frac{3x}{2} +6\)
Step-by-step explanation:
hope this helps
Please help ASAP!!!!!
Answer:
The answer is -14/25 or - 0.56
Find the angle between the vectors. (Round your answer to two decimal places.) u = (4, 3), v = (5, -12), (u, v) =u.v 0 radians Submit Answer
Here the angle between vectors u = (4, 3) and v = (5, -12) is approximately 2.41 radians.
To find the angle between two vectors, u and v, we can use the dot product formula: (u, v) = |u| |v| cos(theta) where (u, v) represents the dot product of u and v, |u| and |v| represent the magnitudes of u and v respectively, and theta represents the angle between the two vectors.
In this case, the dot product of u and v is calculated as follows: (u, v) = (4)(5) + (3)(-12) = 20 - 36 = -16
The magnitudes of u and v can be calculated as:
|u| = sqrt(\(4^{2}\) + \(3^{2}\)) = \(\sqrt\)(16 + 9) = \(\sqrt{\)(25) = 5
|v| = sqrt(\(5^{2}\) + \(-12 ^{2}\)) = \(\sqrt\)(25 + 144) = \(\sqrt{\)(169) = 13
Substituting these values into the dot product formula, we get: -16 = (5)(13) cos(theta). Simplifying the equation, we have: cos(theta) = -16 / (5)(13) = -16 / 65
Taking the inverse cosine (arccos) of this value gives us the angle theta in radians. Therefore, theta ≈ 2.41 radians.
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The reliability factor table provides factors for as many as
three computations when planning and evaluating the results of a
PPS sample. Describe in general terms each of these
computations
The three computations covered by the reliability factor table are sample size, index of reliability, and index of precision. Sample size deals with the size of the sample being used in order to achieve a desirable level of reliability.
Index of reliability is used to measure the consistency of results achieved over multiple trials. It does this by calculating the total number of items that contribute significantly to the final result. Finally, the index of precision measures the effect size of the sample, which is determined by comparing the results from the sample with the expected results.
The sample size computation gives the researcher an idea of the number of items that should be included in a sample in order to get the most reliable results. This is done by taking into account a number of factors including the variability of the population, the type of measurements used, and the desired level of accuracy.
The index of reliability is commonly calculated by finding the ratio of the number of items contributing significantly to the total result to the total number of items in the sample. This ratio is then multiplied by 100 in order to get a final score.
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Simplify 5 to the power of negative 2 over 4 to the power of 6?
Answer:
Step-by-step explanation:
\(\frac{5^{-2} }{4^{6} } =\frac{1}{5^{2} 4^{6} }\)
Ray HJ is the angle bisector of angle GHI. The measure of angle IHJ is 32°. What is the measure of angle GHJ?
a: 64°
b: 16°
c: 32°
d: 0.5°
Answer:
c) 32°
Step-by-step explanation:
The bisector of an angle is the line or line segment that divides the angle into two equal parts. So Ray HJ divides ∠GHI into 2 equal parts.
Therefore, ∠GHJ = ∠IHJ
As we are told that ∠IHJ = 32° then ∠GHJ = 32°
Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. I estimate that the probability of my getting married in the next 3 years is 0.7. math
The statement "I estimate that the probability of my getting married in the next 3 years is 0.7" does make sense.
As individuals, we can make personal estimates or predictions about events that are relevant to our lives, such as the probability of getting married in a certain timeframe. These estimates are based on our own subjective beliefs, experiences, and expectations. While they may not be based on precise mathematical calculations or rigorous statistical analysis, they can still reflect our personal opinions or perceptions.
In this case, the person is providing an estimate that they believe there is a 0.7 (or 70%) probability of getting married within the next 3 years. This estimate is a subjective assessment of their own chances based on various factors such as their current relationship status, personal goals, or cultural norms.
It is important to note that personal estimates like this are not necessarily based on concrete evidence or universally applicable probabilities. They can vary greatly from person to person and are subjective in nature. However, they can still hold personal meaning and influence one's decision-making or expectations regarding future events.
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in the function size 12px f size 12px left parenthesis size 12px x size 12px right parenthesis size 12px equals size 12px 6 to the power of size 12px x size 12px plus size 12px 2 , what represents the output value?
The output value of the given function is the result of the function when a particular input value is provided. It can be calculated by substituting the input value into the function and the value is 1296.
In the given function, size 12px f size 12px left parenthesis size 12px x size 12px right parenthesis size 12px equals size 12px 6 to the power of size 12px x size 12px plus size 12px 2
The output value is the result of the function when a particular input value is provided.
So, if we substitute a value for x, the output value of the function can be calculated as follows:
For example, if we substitute x=2, then the output value would be:
size 12px f size 12px left parenthesis size 12px 2 size 12px right parenthesis size 12px equals size 12px 6 to the power of size 12px 2 size 12px plus size 12px 2
= size 12px 6 to the power of size 12px 2+2
= size 12px 6 to the power of size 12px 4
= size 12px 1296
So, when x=2, the output value of the function is 1296.
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2. Explain and correct the error made by a student who simplified this expression.
–2x + 7x + 8
(–2 + 7 + 8)x
13x
which is the smallest?
9.4
12.19
12.469
12.4969
Answer:
9.4 is the smallest :)
Hope this helps!
1. Differentiate the function f(x) = ln (81 sin^2 (x)) f’(x) 2. Differentiate the function P(t) = in ( √t2 + 9) p' (t) 3. if x2 + y2 + z2 = 9, dx/dt = B, and dy/dt = 4, find dz/dt when (x,y,z) = (2,2,1)
dz/dt =
First you will get 4dz
Write the equation of a line that goes through (-5,6) and is parallel to 4x+5y=3
Answer: y = -4/5x + 2
Step-by-step explanation:
Parallel is same slope diff y intercept (b)
4x + 5y = 3
-4x
/5
Minus 4x and divide by 5
y = -4/5x + 3/5
6 = -4/5(-5) + b
solve b = 2
If f(x) = -5x+3 when x=-2 what’s f(x)?
If we want to find the value of f(x) at x = -2, we simply put "-2" into the given function. Shown below:
\(undefined\)Find the value of X and Y write your answer in simplest form does anyone know how to
Answer:
5 = y
7.1 = x
Step-by-step explanation:
(There are so many ways we can solve this, let's solve this the easiest way):
Let's solve for y first =
We can say;
Tan(45) = y/5
Tan(45) * 5 = y
1 * 5 = y
5 = y
Now let's solve for x;
5² + y² = x²
5² + 5² = x²
25 + 25 = x²
50 = x²
\(\sqrt{50\\}\) = x
7.1 = x
Hope this helps!
Answer:
Y=5 x=50
Step-by-step explanation:
Okay, I'm gonna name this triangle XYZ.
An isosceles triangle is when two sides are equal. We know that an area of a triangle is always 180 degrees. A right triangle always has one degree of 90 degrees. We know that y∠45, x∠90, so z has to be 45 as well. We know this is a right isosceles triangle due to the angles it has given us.
Now, we know y and z are the same sizes. y=z
using the Pythagorean theorem
take a square root of sums of squares \(x=y^2+z^2\)
\(5^2=25\)
25+25=50
volunteers for a human performance study were randomly divided into two groups. the first group had their flexibility measured in the morning after a short meditation session while the second group had their flexibility measured in the afternoon with no previous meditation session. the flexibility scores of the two groups were compared. to improve the design of this experiment, one part of it should be done in a blind way. that is, we should
To improve the design of this experiment, the researchers could have used a double-blind design, where both the participants and the researchers are unaware of the group allocation.
In the given experiment, the researchers have not employed any form of blinding, which could be a potential source of bias. Blinding is a critical aspect of experimental design, where the participants or the researchers are unaware of the group allocation or the treatment being administered. Blinding is used to eliminate any potential sources of bias that may arise due to the expectations or beliefs of the researchers or participants. In this particular study, the lack of blinding could have led to two possible sources of bias. Firstly, the participants in the first group who received the meditation session could have had higher expectations of improvement in their flexibility due to the meditation. These expectations could have led to higher motivation and effort during the flexibility measurement, leading to an artificial improvement in their flexibility scores. Secondly, the researchers who were measuring the flexibility of the participants could have been biased towards finding a difference between the groups due to their knowledge of the group allocation. This could have led to a subconscious alteration in the measurement process, leading to a false conclusion about the effect of meditation on flexibility.
hence To improve the design of this experiment, the researchers could have used a double-blind design, where both the participants and the researchers are unaware of the group allocation. For instance, the participants could have been assigned a unique identification number, and the researchers could have used coded labels to differentiate the groups. This would have eliminated any potential sources of bias due to expectations or beliefs and would have made the results more reliable.
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A car is traveling along a road that makes a 13° angle with the ground. Find the elevation of the car on a stretch of road that extends horizontally 125 meters. Round your answer to the nearest tenth.
Answer:
Therefore, the elevation of the car on the stretch of road, rounded to the nearest tenth, is approximately 29.7 meters.
Step-by-step explanation:
To find the elevation of the car on a stretch of road that extends horizontally 125 meters, we can use trigonometry.
Given:
Angle of the road = 13°
Horizontal distance = 125 meters
We can use the tangent function to calculate the elevation:
tan(angle) = opposite / adjacent
In this case, the opposite side represents the elevation, and the adjacent side represents the horizontal distance.
Let's denote the elevation as "e". The equation becomes:
tan(13°) = e / 125
To solve for "e", we can rearrange the equation:
e = 125 * tan(13°)
Using a calculator, we can evaluate this expression:
e ≈ 125 * tan(13°) ≈ 29.7
For many years businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to less inflation in health care prices and employees paying for a larger portion of health care benefits. A recent Mercer survey showed that of U.S. employers were likely to require higher employee contributions for health care coverage in 2009. Suppose the survey was based on a sample of companies.
Therefore, 0.4854 to 0.5546 is the 95% confidence range for the percentage of businesses that are anticipated to need greater employee payments for health insurance coverage in 2009.
A. Computation the margin of error
First step is to calculate the Confidence level using this formula
Confidence level= 1 -α
Where,
α=0.95
Let's enter the formula.
Level of confidence = 1-0.95
Level of confidence = 0.05
The following step is to use this formula to get Z.
Zα/2
Let's enter the formula.
Z= 0.05/2
Z=0.025
Finding the Z score of Z=0.025 is the third stage.
Zα/2=1.96
Let's now use this approach to calculating the margin of error.
Margin of error=Zα/2√p(1-p)/n
Where,
Zα/2=1.96
p=0.52
n=800
Let plug in the formula
Margin of error=1.96√0.52(1-0.52)/800
Margin of error=1.96√0.52(0.48)/800
Margin of error=1.96√0.2496/800
Margin of error=1.96√0.000312
Margin of error=0.0346
Therefore Margin of error will be 0.0346
B. Calculating the proportion of businesses anticipated to demand greater employee payments for health insurance coverage in 2009 with a 95% confidence interval
computation for the confidence interval's outer limits
p- Zα/2√p(1-p)/n
Where,
Zα/2=1.96
p=0.52
n=800
Let plug in the formula
Confidence interval=0.52-1.96√0.52(1-0.52)/800
Confidence interval=0.52-1.96√0.52(0.48)/800
Confidence interval=0.52-1.96√0.2496/800
Confidence interval=-0.52-1.96√0.000312
Confidence interval=0.4854
Computation for the boundaries of confidence interval
Using this formula
p+ Zα/2√p(1-p)/n
Where,
Zα/2=1.96
p=0.52
n=800
Let plug in the formula
Confidence interval=0.52+1.96√0.52(1-0.52)/800
Confidence interval=0.52+1.96√0.52(0.48)/800
Confidence interval=0.52+1.96√0.2496/800
Confidence interval=-0.52+1.96√0.000312
Confidence interval=0.5546
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Question 7(Multiple Choice Worth 2 points)
(01.06 LC)
What is 0.472 rounded to the nearest tenth?
O 0.4
O 0.47
O 0.5
O 0.7
Answer:
0.5
Step-by-step explanation:
0.472 look at the digit to the RIGHT of the 10ths place if it is >=5 round the 10ths up one .... o/w leave it as is
0.472 = 0.5 rounded to nearest tenth
Answer:0.5
Step-by-step explanation: Find the number in the tenth place 4 and look one place to the right for the rounding digit 7. Round up if this number is greater than or equal to 5 and round down if it is less than 5.0.472 = 0.5
What is the expected value for the binomial
distribution below?
Successes
0
Probability 243/3125
1
162/625
2
216/625
3
144/625
48/625
5
32/3125
The expected value for the binomial distribution with the provided probabilities is approximately 1.29888.
To find the expected value for the binomial distribution, we multiply each possible outcome by its corresponding probability and sum them up. In this case, we have the following outcomes and probabilities:
Successes: Probability:
0 243/3125
1 162/625
2 216/625
3 144/625
4 48/625
5 32/3125
To calculate the expected value, we multiply each outcome by its probability and sum them up:
Expected value = (0 * 243/3125) + (1 * 162/625) + (2 * 216/625) + (3 * 144/625) + (4 * 48/625) + (5 * 32/3125)
Simplifying this expression gives us:
Expected value = 0 + 0.26016 + 0.6912 + 0.27648 + 0.0384 + 0.03264
Expected value = 1.29888
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1. say that the probability that someone has a wireless mouse for their computer is 0.4 and the probability that someone does not have a wireless keyboard is 0.3. the probability that someone has both a wireless mouse and a wireless keyboard is 0.2. let the event a denote someone having a wireless mouse and event b denote someone having a wireless keyboard. a. using proper notation (with events a and b), what does 0.4, 0.3, and 0.2 signify?
The probability of having a wireless mouse is 0.4 , the probability of not having a wireless keyboard is 0.3, and 0.2 is the probability of having both a wireless mouse and keyboard.
Using proper notation, we can denote the events as follows
Event A: Someone has a wireless mouse
Event B: Someone has a wireless keyboard
Then we have the following probabilities:
P(A) = 0.4 This signifies the probability that someone has a wireless mouse.
P(not B) = 0.3 This signifies the probability that someone does not have a wireless keyboard. Note that "not B" means the complement of event B, i.e., the event that someone does not have a wireless keyboard.
P(A and B) = 0.2 This signifies the probability that someone has both a wireless mouse and a wireless keyboard. The notation "A and B" means the intersection of events A and B, i.e., the event that someone has both a wireless mouse and a wireless keyboard.
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Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges write NONE. (-1)"n 72 +5 a = liman 7200 L -/10 Points] DETAILS SCALCCC4 8.1.023. Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges write NONE. an = n2e-5 lim an 72-00 –/10 points) DETAILS SCALCCC4 8.1.029. Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges write NONE. (3n - 1)! (3n +1)! limon 7200
To determine whether the given sequence converges or diverges, we will examine each of the provided sequences and find their respective limits as n approaches infinity.
1. an = (-1)^n
The sequence alternates between -1 and 1 as n increases. Since it does not approach a specific value, the sequence diverges. Your answer for this sequence is NONE.
2. an = n^2 * e^(-n)
To find the limit as n approaches infinity, we can apply L'Hopital's Rule:
lim (n^2) / (e^n) as n approaches infinity.
Applying L'Hopital's Rule twice, we get:
lim (2n) / (e^n) and then lim (2) / (e^n).
As n approaches infinity, the denominator (e^n) increases without bound, so the limit becomes 0. The sequence converges to 0.
3. an = (3n - 1)! / (3n + 1)!
To find the limit as n approaches infinity, let's rewrite the sequence as:
an = 1 / [(3n)(3n + 1)]
As n approaches infinity, the denominator (3n)(3n + 1) increases without bound, and the sequence converges to 0.
In summary:
1. The sequence (-1)^n diverges (NONE).
2. The sequence n^2 * e^(-n) converges to 0.
3. The sequence (3n - 1)! / (3n + 1)! converges to 0.
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Adult and student tickets to the high school basketball
game are sold each week. For every 4 adult tickets, nine
student tickets are sold. How many total tickets were sold if
88 adult tickets were sold?
Answer:
286
Step-by-step explanation:
Please help me! I’ll mark brainliest.
Harloe’s cats love Christmas songs. Every day she sings “Jingle Bells” five times, “Silver Bells” twice as many times as “Jingle Bells” and “Silent Night” once before bedtime.
A. How many songs does Harloe sing each day?
B. How many songs does Harloe sing in the weekend?
Answer:
A- 16 songs a day
B- 32 songs in the weekend
Step-by-step explanation:
A- if she songs "jingle bells" 5 times, the sings"silver bells" twice as many times, that would just be like multiplying 5 x 2, which equals 10, then add the 5 times she sings jingle bells, that would be 15. then she sings "silent night" one time which adds on to the other songs to get 16 songs a day
B- the weekend has 2 days in it so you would just multiply 16 x 2 which gives you 32
Consider the equation below (in screenshot)
Approximate the solution to the given equation by performing three iterations of successive approximation. Use the table as a starting point.
PLEASE HELP AND SHOW PROOF :( im unsure if it is 39/8 or 79/16
The approximate solution of the equation shown in the picture is x ≈ 39 / 8 (Right choice: B).
How to find an approximate solution of a one-variable equation
The solution of the equation is between x = 4 and x = 5. Now we begin by evaluating each side of the expression (f(x) = x² - 5 · x + 4, g(x) = 2 / (x - 1)) at the average of x = 4 and x = 5.
x = (4 + 5) / 2
x = 4.5
f(4.5) = 4.5² - 5 · 4.5 + 1
f(4.5) = - 5 / 4
g(4.5) = 2 / (4.5 - 1)
g(4.5) = 4 / 7
The solution of the equation is between x = 4.5 and x = 5, then we evaluate at the average:
x = (4.5 + 5) / 2
x = 4.75
f(4.75) = 4.75² - 5 · 4.75 + 1
f(4.75) = - 3 / 16
g(4.75) = 2 / (4.75 - 1)
g(4.75) = 8 / 15
The solution of the equation is between x = 4.75 and x = 5, then we evaluate at the average:
x = (4.75 + 5) / 2
x = 4.875
f(4.875) = 4.875² - 5 · 4.875 + 1
f(4.875) = 25 / 64
g(4.875) = 2 / (4.875 - 1)
g(4.875) = 16 / 31
The approximate solution of the equation shown in the picture is x ≈ 39 / 8 (Right choice: B).
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